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Finding the Third Proportional to 480,660 and 747,234

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Solution

The third proportional to 480,660 and 747,234 is: 1,161,649.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,660 : 747,234 = 747,234 : x
  2. Step 2: Convert to fraction form
    480,660/747,234 = 747,234/x
  3. Step 3: Cross multiply
    480,660x = 747,234 × 747,234
  4. Step 4: Simplify right side
    480,660x = 558,358,650,756
  5. Step 5: Solve for x
    x = 558,358,650,756/480,660
  6. Step 6: Final answer
    x = 1,161,649.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.